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Finding the Fourth Proportional to 2,364.58, 3,547.08 and 721.30

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Solution

The fourth proportional to 2,364.58, 3,547.08 and 721.30 is: 1,082.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.58 : 3,547.08 = 721.30 : x
  2. Step 2: Convert to fraction form
    2,364.58/3,547.08 = 721.30/x
  3. Step 3: Cross multiply
    2,364.58x = 3,547.08 × 721.30
  4. Step 4: Simplify right side
    2,364.58x = 2,558,508.80
  5. Step 5: Solve for x
    x = 2,558,508.80/2,364.58
  6. Step 6: Final answer
    x = 1,082.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.